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math.NA2020
Digit Stability Inference for Iterative Methods Using Redundant Number Representation
He Li, Ian McInerney, James J. Davis +1
In our recent work on iterative computation in hardware, we showed that arbitrary-precision solvers can perform more favorably than their traditional arithmetic equivalents when th…
math.NA2019
A Probabilistic Approach to Floating-Point Arithmetic
Fredrik Dahlqvist, Rocco Salvia, George A Constantinides
Finite-precision floating point arithmetic unavoidably introduces rounding errors which are traditionally bounded using a worst-case analysis. However, worst-case analysis might be…